Module 4 Test Review. Identify the Rate of Change in each equation.

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.

Linear Equations Review. Find the slope and y intercept: y + x = -1.

Slope intercept form of an equation

1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

Linear Representation and Equations of Lines

Graphing Using Slope - Intercept STEPS : 1. Equation must be in y = mx + b form 2. Plot your y – intercept ( 0, y ) 3. Using your y – intercept as a starting.

y = 2x - 3 What’s this? y = 2x - 3 It’s a Linear Equation!

Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.

Y -intercept ANSWER slope ANSWER Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. ? In the equation y = mx + b, the value of m is.

Chapter Point slope Form.

EXAMPLE 3 Write an equation of a line given two points

SOLUTION EXAMPLE 4 Graph an equation in two variables Graph the equation y = – 2x – 1. STEP 1 Construct a table of values. x–2–1 012 y31 –3–5.

Bean Investigation Presentation By:Serhiy Smirnov Period:1.

LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.

EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a.

Geometric Sequences, Exponential Equations, Exponential Growth and Decay.

Warm up Write the slope and y-intercept for the following linear functions 1.y = 4x – 6 2.y = -3x y = 4 – 2x 4.y = 1/3x y = -2/3x.

11-5 Graphing Linear Functions. Graphs can help you quickly see the relationship between two sets of data. Different types of data are graphed differently.

Holt Algebra Point-Slope Form Warm Up Find the slope of the line containing each pair of points. 1. (0, 2) and (3, 4) 2. (–2, 8) and (4, 2) 3. (3,

Writing Linear Equations

Lesson 5.6 Point-Slope Form of the Equation of a Line

Graphing Lines Using Slope-Intercept Form

Slope-Intercept and Standard Form of a Linear Equation.

Slope Intercept Form Algebra

Warm Up F(x) = 3x + 5 find F(2) , F(0), and F(3) +5

OBJECTIVE I will use slope-intercept form to write an equation of a line.

Learning Targets Graph a line and write a linear equation using point-slope form. Write a linear equation given two points. Warm Up Find the slope of the.

Lesson 4.2 Review of 4.1 E.Q. #1 E.Q. #2

Point-Slope Form of a Linear Equation

Equations of Lines.

Rule of the Linear Function

6.7 Writing Linear Functions

SYSTEMS OF LINEAR EQUATIONS

Slope-Intercept Form 4-6 Warm Up Lesson Presentation Lesson Quiz

Equations of straight lines

Objectives Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.

PARENT GRAPH FOR LINEAR EQUATIONS

Warm Up Find the slope of the line containing each pair of points.

½ is the slope 1 is the y-intercept ½ is the slope

3-4 Equations of Lines Name the slope and y-intercept of each equation. 1. y = ½ x + 4 m = ½ b = 4 2. y = 2 m = 0, b = 2 (horizontal line) 3. x = 5.

Lesson 8-3 Using Slopes and Intercepts part 2

Point-Slope Form and Writing Linear Equations

Comparing Functions Represented in Different ways

Identify Functions Using Tables

12.4 Point-Slope Form.

4.7 Graphing Lines Using Slope-Intercept Form

Write the equation for the following slope and y-intercept:

y – y1 = m (x – x1) Topic: Writing Equations in Point-Slope Form

2-4: Writing Linear Equations Using Slope Intercept Form

Point-Slope Form 5-7 Warm Up Lesson Presentation Lesson Quiz

Unit 6: Exponential Functions

Linear Equations Created by Educational Technology Network

Function & Vertical Line Test

2.2: Graphing a linear equation

2.2 Linear relations and functions.

Jeopardy y = mx + b 100 Equation 100 Slope 100 Point-Slope 100 Review

Write Linear Equations in Point-Slope Form

Module 11-3 Objectives Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.

5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0

Objectives: To graph lines using the slope-intercept equation

Slope intercept form is:

Writing Rules for Linear Functions Pages

9.4 Absolute Value Functions and Graphs

Introduction to Functions & Function Notation

ALGEBRA I - REVIEW FOR TEST 2-1

1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x

Presentation transcript:

Module 4 Test Review

Identify the Rate of Change in each equation

State the definitions of the following words  Linear:  Answer: The same value is added to the previous term.  Exponential:  Answer: The same value is multiplied to the previous term.  Continuous:  Answer: The function is continuously growing. Points on a graph are connected.  Discrete:  Answer: The function grows in point to point intervals. Points on a graph are not connected.

Find the rate of change for the following function xy  Answer: Rate of Change = 2  Put the inputs in order, then find the change in y over the change in x.

If I started with $15 and I get a 5% raise (of the previous value) each week.

Given the two points (-2, 5) and (4, 29)

Write an explicit equation and an equation in slope intercept form for the values in the table. xy  Explicit Equation: f(x) = 5(x-7)+11, simplified would be f(x) = 5x -24  Slope Intercept: y = 5x -24

Find the greater rate of change.

In each of the graphs, determine which Function has the greater rate of change?  Answer: m(x)  Answer: f(x)

I have been collecting cans for extra money. I currently have a bag full of 300 cans. Each Sunday, I go walking and I add 30 cans to my collection. Complete the table. Weeks (or weeks prior) Cans Weeks (or weeks prior) Cans

I have been collecting cans for extra money. I currently have a bag full of 300 cans. Each Sunday, I go walking and I add 30 cans to my collection.  Write an explicit equation.  Answer: f(n) = 30n  Is the function discrete or continuous?  Answer: Discrete. I only add the cans on Sunday.  If I keep collecting, how many cans will I have after 35 weeks?  Answer: f(35) = 30(35) + 300….1350 cans  If I have been doing this same thing for a long time and originally started with 0 cans, how long have I been collecting to get to 300 cans.  Answer: 0 = 30n + 300….. So n = 10 weeks.

The size of a crack in a glacier is.002 feet. Each day the size of the crack doubles. The total length of the glacier is 7500 feet. Complete the table DaysLength in Inches DaysLength in Inches

The size of a crack in a glacier is.002 feet. Each day the size of the crack doubles. The total length of the glacier is 7500 feet.